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Let X be the number of blueberries on a muffin made by Michael, and denote by m to be its median. Charles suspects that Michael has been adding more blueberries than usual to his muffins. For some reason, he has kept meticulous records. The last 15 muffins Charles bought contained the following numbers of blueberries: 96 12 8 15 7 8 12 6 10 13 11 11 10 10 Charles would like to test Ho: m = 9 against H₁: m>9 at significance level a = 0.1. (a) Use the sign test to test the hypothesis. (b) Use the Wilcoxon sign-rank test to test the hypothesis. (Note: Assume that the distribution is continuous) (c) Use the t-test to test the hypothesis, assuming the underlying distribution is symmetric.

Let X be the number of blueberries on a muffin made by Michael, and denote by m to be its median. Charles suspects that Michael has been adding more blueberries than usual to his muffins. For some reason, he has kept meticulous records. The last 15 muffins Charles bought contained the following numbers of blueberries: 96 12 8 15 7 8 12 6 10 13 11 11 10 10 Charles would like to test Ho: m = 9 against H₁: m>9 at significance level a = 0.1. (a) Use the sign test to test the hypothesis. (b) Use the Wilcoxon sign-rank test to test the hypothesis. (Note: Assume that the distribution is continuous) (c) Use the t-test to test the hypothesis, assuming the underlying distribution is symmetric.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Let X be the number of blueberries on a muffin made by Michael, and denote by m to be its median. Charles suspects that Michael has been adding more blueberries than usual to his muffins. For some reason, he has kept meticulous records. The last 15 muffins Charles bought contained the following numbers of blueberries: 96 12 8 15 7 8 12 6 10 13 11 11 10 10 Charles would like to test Ho: m = 9 against H₁: m>9 at significance level a = 0.1. (a) Use the sign test to test the hypothesis. (b) Use the Wilcoxon sign-rank test to test the hypothesis. (Note: Assume that the distribution is continuous) (c) Use the t-test to test the hypothesis, assuming the underlying distribution is symmetric.
Transcribed Image Text:Let X be the number of blueberries on a muffin made by Michael, and denote by m to be its median. Charles suspects that Michael has been adding more blueberries than usual to his muffins. For some reason, he has kept meticulous records. The last 15 muffins Charles bought contained the following numbers of blueberries: 96 12 8 15 7 8 12 6 10 13 11 11 10 10 Charles would like to test Ho: m = 9 against H₁: m>9 at significance level a = 0.1. (a) Use the sign test to test the hypothesis. (b) Use the Wilcoxon sign-rank test to test the hypothesis. (Note: Assume that the distribution is continuous) (c) Use the t-test to test the hypothesis, assuming the underlying distribution is symmetric.
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